### Errata

#### (of the second edition, second printing)

Here are some typos found in the second printing of the second edition, published in June 2005. If you find any typo not listed here or in the previous errata, be sure to point it/them out to Christian Robert (xian@ceremade.dauphine.fr) or  George Casella (gcasella@stat.ufl.edu). Your contribution will be acknowledged in the next printing. Thanks in advance!
• 4: On line 9, the index of θ and p should be k, not n. [Thanks to Amir Alipour]
• 4: In Example 1.3, in the last line, the inequality n>q should not be strict. [Thanks to Amir Alipour]
• 5: In Formula (1.5), the power of σ should be n+q+1. [Thanks to Amir Alipour]
• 7: In Formula (1.7), the parameters a and b should be exchanged. [Thanks to Amir Alipour]
• 8: After Formula (1.10), the gradient symbol ∇ should be defined, instead of waiting for page 19. [Thanks to Amir Alipour]
• 8: In Example 1.6, the cumulant function ψ should involve log(-1/2θ2). [Thanks to Amir Alipour]
• 10: In the definition of the Bessel function at the top, the series is in t not in z. [Thanks to Amir Alipour]
• 10: In the last formula of Example 1.9, the likelihood function is inversely proportional to a power of the displayed product and the power of σ should be 2n/(p+1). [Thanks to Amir Alipour]
• 16: In the Challenger example, the correct reference is to Example 7.11, not Example 7.3 [Thanks to Patrick Hung]
• 38: In the transform Yn of Xn, the argument of the arcsin should be 2Xn-1 instead of Xn [Thanks to Patrick Hung] and F is not defined as the arcsine transform in Fig. 2.1 [Thanks to Gholamhossein Gholami]
• 49: In the denominator of the integral ratio at the bottom of the page, the outer integral should be on X, not on [Thanks to Daniel Bové]
• 52: In Example 2.19, we are looking at the minimum of M in b, not the maximum, and the power of (1-b) is -(α-a) [Thanks to Gholamhossein Gholami]
• 53: In Example 2.20, the ratio f/gα should start with exp(α(z-μ)) and the optimum (2.11) in α is missing a 1/2 in the first μ [Thanks to Gholamhossein Gholami]
• 54: In Example 2.22, there is a (1/ √ 2 π) missing in the inequality and the bound is useless when x2 is greater than 2, not lower, which occurs with probability 0.39 [Thanks to Daniel Bové]
• 55: In Algorithm A.6, α should be equal to λ and k to log(β) - λ - log(c) [Thanks to Daniel Bové]
• 61: On Figure 2.8, the labels ea1+b1x and ea3+b3x have to interchanged [Thanks to Daniel Bové]
• 62: The simulation from gn is incorrect: we need to simulate a truncated exponential on one of both subintervals of [x1,x2]  [Thanks to Daniel Bové]
• 63: In Problem 2.8, question (b),  the ratio in arctan should be X2/X1, rather than X1/X2 [Thanks to Wolfgang Remmel]
• 64: In Problem 2.11, question (b),  the Cauchy distribution function is tan-1(x)/π + 1/2 [Thanks to Mouhamad Mounirou Allaya]
• 80: In Example 3.1, the reference to Example 1.7 should be to Example 1.8 and λ should be defined as ||θ|| to correspond to the polar coordinates [Thanks to Daniel Bové]
• 86: In formula (3.5), a factor 2 is missing at the beginning [Thanks to Daniel Bové]
• 92: In the last formula, √(2πσ) should be √(2π)σ  [Thanks to Daniel Bové]
• 94: In the definition of fY, (x-4.5) should be (y-4.5) [Thanks to Daniel Bové]
• 98: In the definition of g, the ≥0 sign should be a subscript [Thanks to Daniel Bové]
• 106: In the bound M', α and a should be exchanged [Thanks to Daniel Bové]
• 114: In Problem 3.22, the sum of the weights ωi should be equal to n in expectation, not to 1  [Thanks to Daniel Bové]
• 126: In formula (4.5),  all the powers should be outside the expectations  [Thanks to Vadim Victorovich Zipunnikov]
• 127: In the footnote, open should opened
• 128: On line -8, the Xi's should be normal with mean µ not mean  [Thanks to Matt Wolak]
• 129: The last diagonal term of the matrix (4.7) is n2 not 2n2 [Thanks to Tomas Ukkonen]
• 178: Both terms in the first inequality are the same! The numerator on the rhs should be k(Z(j),x) .
• 178-179: The details of Example 5.17 are full of typos: there is a minus sign missing in the first and second equations  in front of (zi-θ)2, the indices should start at m+1 in the vector z, the density (5.16) is incorrect, missing the normalising factor (1-φ(a-θ))m-n, the indices should start at  m+1, not (n-m+1) in the second sum of the last equation of page 178, and, in the update equation (5.17), the (1/n) in the last term should be (n-m)/n... [Thanks to Daniel Bové & Serena Ng]
• 192: In connection with the above, Problem 5.16 (b) is missing a ' in the expectation of Z1  [Thanks to Daniel Bové & Serena Ng]
• 221: In the proof of Proposition 6.31, the atom is Cx{1}, not Cx{0}  [Thanks to Vivekananda Roy]
• 282: The prior in the third line puts an exponential prior on exp(α) not on log(α) [Thanks to Uli Schneider] and the expectation of α is missing the α in the first integral (on top of b), as well as a lower bound -∞ [Thanks to Patrick Hung]
• 298: In the construction of  wji , the index on ρtj should be ji
• 302: In Problem 7.1(a), the Gamma(4,7) should be a Gamma(4,6) [Thanks to Yu Huang]
• 308: In Problem 7.25 (a), it is exp(α) that has an exponential distribution, not log(α) [Thanks to Uli Schneider]
• 319: In the first equation, the ratio of exponentials should be inverted  [Merci, Olivier Cappé]
• 365: In Algorithm A.38, the scale parameter in the simulation of t2j is wrong: it is missing a +nj x2 [Thanks to Justin Veenstra]
• 385: The conditional distributions on the Ci's are not normal, due to the normal prior on the log Ci's
• 429: In the second paragraph, there is a missing "corresponding to"  between posterior distribution and (11.2)  [Thanks to Daniel Bové]
• 431: In the last Jacobian, θn(t) should be θm(t) [Thanks to Björn Bornkamp]
• 432: In the Jacobians, the determinant is missing and at the bottom of the page "it can solved" should be "it can be solved" [Thanks to Daniel Bové]
• 433: In the Jacobians, there is one parenthesis too many in the denominators [Thanks to Daniel Bové]
• 436: In the Jacobian, p(3)2 should have a minus sign but this does not change the final value [Thanks to Quan Wen]
• 438: In the definition of  σ(j+1)(k+1)  on the rhs, the square is missing [Thanks to Mauro Bernardi]
• 439: In the second formula, there is a missing bracket after  θk+1 [Thanks to Mauro Bernardi]
• 476: In Example 12.8, in the numerator of wx, p1/2 should be replaced by p a1/2 [Thanks to Vivekananda Roy]
• 497: In the definition of both BT and WT, it is more standard to use unbiased estimators, namely to use M-1 rather than M and T-1 rather than T, respectively [Thanks to Uli Schneider]
• 528: In Algorithm A.56, there is an approximation in the recycling of w(-t)i that creates a bias, as explained in this technical report  [Thanks to  Josef Leydold & Wolfgang Hoermann]
• 564: In Algorithm A.62, part c., the weights in the denominator should be ζk  not  ρk  [Thanks to Iain Murray]
• 575: In Problem 14.16 (b), there is a missing plus sign between both terms in the rhs [Thanks to Mauro Bernardi]
• 583: In the Negative Binomial Distribution in A.13n+x+1 should be n+x-1 [Thanks to Gholamhossein Gholami]

Last modified on Oktober 16, 2009.